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#### The kinetic and interaction energies of a trapped Bose gas: beyond the mean field

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##### Citation

Cherny, A. Y., & Shanenko, A. A. (2002). The kinetic and interaction energies of
a trapped Bose gas: beyond the mean field.* Physics Letters A,* *293*(5-6),
287-292. Retrieved from http://www.sciencedirect.com/science?_ob=IssueURL&_tockey=%23TOC%235538%232002%23997069994%23283381%23FLA%23Volume_293,_Issues_5-6,_Pages_211-302_(4_February_2002)&_auth=y&view=c&_acct=C000002818&_version=1&_urlVersion=0&_userid=42421&md5=7f427fa0f3cc4752833594e4e048ecc9.

Cite as: http://hdl.handle.net/11858/00-001M-0000-002B-3814-A

##### Abstract

The kinetic and interaction energies of a three-dimensional (3D) dilute ground-state Bose gas confined in a trap are calculated beyond a mean-field treatment. They are found to depend on the pairwise interaction trough two characteristic lengths: the first, a, is the well-known scattering length and the second, b, is related to the latter by b = a - lambdapartial derivativea/partial derivativelambda with lambda being the coupling constant. Numerical estimations show that the pairwise interaction energy of a dilute gas of alkali atoms in a trap is negative (in spite of the positive scattering length); its absolute value is found by about the order of magnitude larger than that of the mean-field interaction energy that corresponds to the last term in the Gross-Pitaevskii (GP) functional. (C) 2002 Published by Elsevier Science B.V.